SOLUTION: logbase10 x +logbase10 (x+21) = 2

Algebra.Com
Question 261362: logbase10 x +logbase10 (x+21) = 2
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
logbase10 x +logbase10 (x+21) = 2
-------------
log(x) + log(x+21) = 2
---
log[x(x+21)] = 2
---
x(x+21) = 10^2
x^2+21x-100 = 0
(x+25)(x-4) = 0
Positive solution:
x = 4
====================
Cheers,
Stan H.

RELATED QUESTIONS

solve for x: Logbase10... (answered by Cromlix)
logbase10(n-3)=2 (answered by edjones)
4logbase10(0.9)=logbase10(x) calculate the value of x with full method... (answered by josgarithmetic,ikleyn)
1/2logbase10 25-2logbase10 3+logbase10... (answered by Alan3354,Cromlix)
How do you work out the problem:... (answered by edjones)
I need help on this question: If Logbase8(3)=p and logbase3(5)=q, express logbase10(5) in (answered by CharlesG2)
How do you solve the following problem without a calculator? Find the exact value of... (answered by Alan3354,Fombitz)
3(x-2)²=21 (answered by jim_thompson5910)
x^2+10x+21 (answered by solver91311)